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A200943 Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value and 0..n occur with instance counts within one of each other 1
1, 7, 3, 15, 46, 107, 213, 383, 636, 997, 1492, 2151, 3005, 4092, 5447, 7114, 9135, 11559, 14433, 17814, 21753, 26313, 31552, 37538, 44334, 52016, 60651, 70321, 81100, 93075, 106325, 120945, 137018, 154645, 173916, 194937, 217803, 242628, 269511 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 4 of A200942

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 2*a(n-1) +a(n-2) -3*a(n-3) -a(n-4) +a(n-5) +3*a(n-6) -a(n-7) -2*a(n-8) +a(n-9) for n>11

Empirical g.f.: x+7x^2 -x^3*(3+9*x+13*x^2+x^4+9*x^3) / ( (1+x+x^2)*(1+x)^2*(x-1)^5 ). - R. J. Mathar, Nov 25 2011

EXAMPLE

Some solutions for n=8

..1....1....0....1....0....0....1....2....1....3....1....2....4....0....0....1

..7....3....1....2....1....1....4....5....6....7....4....4....5....2....2....4

..6....2....2....3....5....6....5....4....4....5....5....7....8....8....4....6

..8....4....5....8....4....7....6....8....8....8....7....8....7....4....8....8

CROSSREFS

Sequence in context: A255772 A195159 A279353 * A283289 A284477 A145399

Adjacent sequences:  A200940 A200941 A200942 * A200944 A200945 A200946

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 24 2011

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)